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(x m ) (x n ) = x m + n Multiplying powers with the same base Add the powers of like bases 5 3 • 5 3 = (5•5•5)(5•5•5) = 5 3+3 = 5 6 x -2 • x 4 • x 6 = x -2+4+6 = x 8

( x m ) ( x n ) = x m + n

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Multiplying powers with the same base. Add the powers of like bases. ( x m ) ( x n ) = x m + n. 5 3 • 5 3 = ( 5 • 5 • 5 )( 5 • 5 • 5 ) = 5 3+3 = 5 6. x -2 • x 4 • x 6 = x -2+4+6 = x 8. Raising an e xponent to a power. Multiply the powers of each base. ( x m ) n = x mn. - PowerPoint PPT Presentation

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Page 1: ( x m ) ( x n ) = x m + n

(xm) (xn) = xm + n

Multiplying powers with the same baseAdd the powers of like bases

53 • 53 = (5•5•5)(5•5•5) = 53+3 = 56

x-2 • x4 • x6= x-2+4+6 = x8

Page 2: ( x m ) ( x n ) = x m + n

(xm)n = xmn

Raising an exponent to a powerMultiply the powers of each base

(53)4 = 53•53•53•53 = 53•4 = 512

(5x3)4 = 5x3•5x3•5x3•5x3 = 51•4x3•4 = 54x12


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